Question

a) May you please solve this question in a clear way + step by step

b) Apply it in matlab (code written)

Note that:

G(zoh)= (1-e^-Ts )/s

Thank you

Consider the system shown below Rcs) CCS ZoH (25+3) CS+2) T-0.5sec Copute and Plot the step lesponse. fo o s « s 10.

Answer 1

S ZoH is Discxcte me eauivalent of"p usra ven by S- -TF -) Trae rm 2 -T laplace oprator vesse LsasaC) A T st를 (+5 A Cs>를)(왜) 글x군 B- S C. -\ > S-21 2/3 A/3 E342]ucn Subskhite t=0.S K. )0-4) uw)- 6065)) =>

ヌーTF (-) 3 2/3 1-0- 4724 -o-66652 0.0357ヌ -6.1989ヌ - o 840 +0 138 to plut thetcp Tesponse Matlab Used

MATLAB code is given below

clc;
close all;
clear all;

% define z
z = tf('z',0.5);

% define the system transfer function
Gz = (0.357*z^-1+0.1989*z^-2)/(1-0.8402*z^-1+0.1738*z^-2);

% plot the step response
figure;
step(Gz);grid on;

Step Response 1.8 1.6 1.4 1.2 0.8 0.6 0.4 0.2 0 4 10 Time (seconds) Amplitude